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138442230 = 23352917681
BaseRepresentation
bin10000100000001…
…11010111110110
3100122111121001000
420100013113312
5240420122410
621423144130
73300511443
oct1020072766
9318447030
10138442230
1171168773
123a445046
13228b32a4
141455a9ca
15c249dc0
hex84075f6

138442230 has 64 divisors (see below), whose sum is σ = 381931200. Its totient is φ = 35642880.

The previous prime is 138442217. The next prime is 138442231. The reversal of 138442230 is 32244831.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 138442194 and 138442203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138442231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1011 + ... + 16670.

It is an arithmetic number, because the mean of its divisors is an integer number (5967675).

Almost surely, 2138442230 is an apocalyptic number.

138442230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138442230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190965600).

138442230 is an abundant number, since it is smaller than the sum of its proper divisors (243488970).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138442230 is a wasteful number, since it uses less digits than its factorization.

138442230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17726 (or 17720 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 138442230 is about 11766.1476278347. The cubic root of 138442230 is about 517.3163389431.

The spelling of 138442230 in words is "one hundred thirty-eight million, four hundred forty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 87 90 135 145 174 261 270 290 435 522 783 870 1305 1566 2610 3915 7830 17681 35362 53043 88405 106086 159129 176810 265215 318258 477387 512749 530430 795645 954774 1025498 1538247 1591290 2386935 2563745 3076494 4614741 4773870 5127490 7691235 9229482 13844223 15382470 23073705 27688446 46147410 69221115 138442230